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Finding the Fourth Proportional to 912.95, 1,367.70 and 450.18

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Solution

The fourth proportional to 912.95, 1,367.70 and 450.18 is: 674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.95 : 1,367.70 = 450.18 : x
  2. Step 2: Convert to fraction form
    912.95/1,367.70 = 450.18/x
  3. Step 3: Cross multiply
    912.95x = 1,367.70 × 450.18
  4. Step 4: Simplify right side
    912.95x = 615,713.98
  5. Step 5: Solve for x
    x = 615,713.98/912.95
  6. Step 6: Final answer
    x = 674.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.